变厚度锥壳方程及其渐近解

THE FUNDAMENTAL EQUATION OF CONICAL SHELLS WITH VARIABLE THICKNESS AND ITS ASYMPTOTIC SOLUTION

本文用薄壳理论导出了壁厚线性变化的锥壳在承受轴对称载荷时的复变量方程,在薄壳理论误差范围内求得了齐次方程的渐近解和工程实用载荷的非齐次解,并给出了算例。

In this paper, the fundamental equation in complex variables for conical shells with linearly variable thickness subj ected to axisymmetric loading has been derived. This paper also gives the homogeneous asymptotic solutions and the infiomogeneous solutions for engineering loadings. The errors of these solutions are within the allowable limit compatible in the theory of shells. A numerical example is given.